| 算子半群的逼近及其在参数连续马尔科夫链中的应用 |
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| 引用本文： | 赵文强,闵兰.算子半群的逼近及其在参数连续马尔科夫链中的应用[J].西南师范大学学报(自然科学版),2003,28(5):665-669. |
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| 作者姓名： | 赵文强 闵兰 |
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| 作者单位： | 1. 西南师范大学,数学与财经学院,重庆,400715
2. 成都理工大学,信息管理学院,四川,成都,610059 |
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| 基金项目： | 国家自然科学基金资助项目(19871067). |
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| 摘 要： | 在Bansch空间中，根据生成元得出了算子半群逼近的一个充要条件。同时，把算子半群的逼近理论运用到马尔科夫链，讨论了转移函数的逼近，推广了一些已知结果。
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| 关 键 词： | Banach空间 算子半群 逼近理论 参数连续马尔科夫链 转移函数 生成元 |
Approximation of Semigroups of Linear Operators and Application to Continuous-Time Markov Chains |
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| ZHAO Wen-qiang,MINLan .School of Mathematics and Finance,Southwest China Normal University,Chongqing ,China .College of Information Management,Chengdu University of Technology,Chengdu Sichuan ,China.Approximation of Semigroups of Linear Operators and Application to Continuous-Time Markov Chains[J].Journal of Southwest China Normal University(Natural Science),2003,28(5):665-669. |
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| Authors: | ZHAO Wen-qiang MINLan School of Mathematics and Finance Southwest China Normal University Chongqing China College of Information Management Chengdu University of Technology Chengdu Sichuan China |
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| Institution: | ZHAO Wen-qiang~1,MINLan~2 1.School of Mathematics and Finance,Southwest China Normal University,Chongqing 400715,China 2.College of Information Management,Chengdu University of Technology,Chengdu Sichuan 610059,China |
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| Abstract: | In a Banach space, a sufficient and necessary condition on the approximation of C_0 semigroup is presented in terms of its generator. For the application to Continuous-Time Markov Chains, we discuss the approximation of transition function. Some well-known results are generalized. |
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| Keywords: | Continuous-Time Markov Chains Contraction Semigroup Transition Function q-matrix |
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